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14132012301 = 33112910915053
BaseRepresentation
bin11010010100101010…
…10110010100001101
31100110212212121102000
431022111112110031
5212420243343201
610254150022513
71010130060021
oct151225262415
940425777360
1014132012301
115aa2175010
1228a4947a39
131442a80574
14980c3c381
1557aa0cd86
hex34a55650d

14132012301 has 64 divisors (see below), whose sum is σ = 23845536000. Its totient is φ = 8193104640.

The previous prime is 14132012239. The next prime is 14132012333. The reversal of 14132012301 is 10321023141.

14132012301 is a `hidden beast` number, since 1 + 41 + 320 + 1 + 2 + 301 = 666.

It is not a de Polignac number, because 14132012301 - 222 = 14127817997 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (14132010301) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 931291 + ... + 946343.

It is an arithmetic number, because the mean of its divisors is an integer number (372586500).

Almost surely, 214132012301 is an apocalyptic number.

14132012301 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

It is an amenable number.

14132012301 is a deficient number, since it is larger than the sum of its proper divisors (9713523699).

14132012301 is a wasteful number, since it uses less digits than its factorization.

14132012301 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 15211 (or 15205 counting only the distinct ones).

The product of its (nonzero) digits is 144, while the sum is 18.

Adding to 14132012301 its reverse (10321023141), we get a palindrome (24453035442).

The spelling of 14132012301 in words is "fourteen billion, one hundred thirty-two million, twelve thousand, three hundred one".

Divisors: 1 3 9 11 27 29 33 87 99 109 261 297 319 327 783 957 981 1199 2871 2943 3161 3597 8613 9483 10791 15053 28449 32373 34771 45159 85347 104313 135477 165583 312939 406431 436537 496749 938817 1309611 1490247 1640777 3928833 4470741 4801907 4922331 11786499 14405721 14766993 18048547 43217163 44300979 47582533 54145641 129651489 142747599 162436923 428242797 487310769 523407863 1284728391 1570223589 4710670767 14132012301